The details
Mathematics, Statistics and Actuarial Science (School of)
Colchester Campus
Full Year
Undergraduate: Level 4
Thursday 08 October 2020
Friday 02 July 2021
14 May 2021


Requisites for this module


EC251, EC368, EC371, EC372, EC383, MA105, MA202, MA203, MA222, MA225

Key module for

BSC N233 Actuarial Science (Including Placement Year),
BSC N323 Actuarial Science,
BSC N324 Actuarial Science (Including Year Abroad),
BSC N325 Actuarial Science (Including Foundation Year),
BA 0F66 Economics (Including Placement Year),
BA L100 Economics,
BA L102 Economics (Including Foundation Year),
BA L106 Economics (Including Year Abroad),
BSC 0E45 Economics (Including Placement Year),
BSC L101 Economics,
BSC L103 Economics (Including Foundation Year),
BSC L107 Economics (Including Year Abroad),
MECNL130 Economics,
MECNLA30 Economics (Including Placement Year),
MECNLA31 Economics (Including Year Abroad),
BSC L1G2 Economics and Mathematics (Including Placement Year),
BSC LG11 Economics and Mathematics,
BSC LG18 Economics and Mathematics (Including Foundation Year),
BSC LG1C Economics and Mathematics (Including Year Abroad),
BSC L1G1 Economics with Mathematics,
BSC L1G3 Economics with Mathematics (Including Placement Year),
BSC L1G8 Economics with Mathematics (Including Foundation Year),
BSC L1GC Economics with Mathematics (Including Year Abroad),
BSC GN13 Finance and Mathematics,
BSC GN15 Finance and Mathematics (Including Placement Year),
BSC GN18 Finance and Mathematics (Including Foundation Year),
BSC GN1H Finance and Mathematics (Including Year Abroad),
BA 5A84 Financial Economics (Including Placement Year),
BA L111 Financial Economics,
BA L118 Financial Economics (Including Foundation Year),
BA L195 Financial Economics (Including Year Abroad),
BSC 0Q64 Financial Economics (Including Placement Year),
BSC L114 Financial Economics,
BSC L117 Financial Economics (Including Foundation Year),
BSC L194 Financial Economics (Including Year Abroad),
MECNL131 Financial Economics,
MECNLB31 Financial Economics (Including Placement Year),
MECNLB32 Financial Economics (Including Year Abroad),
BA 9O47 International Economics (Including Placement Year),
BA L115 International Economics,
BA L160 International Economics (Including Foundation Year),
BA L163 International Economics (Including Year Abroad),
BSC 5H18 International Economics (Including Placement Year),
BSC L116 International Economics,
BSC L161 International Economics (Including Foundation Year),
BSC L162 International Economics (Including Year Abroad),
MECNL132 International Economics,
MECNLC32 International Economics (Including Placement Year),
MECNLC33 International Economics (Including Year Abroad),
BA 9L11 Management Economics (Including Placement Year),
BA L108 Management Economics,
BA L190 Management Economics (Including Foundation Year),
BA L192 Management Economics (Including Year Abroad),
BSC 5M00 Management Economics (Including Placement Year),
BSC L109 Management Economics,
BSC L191 Management Economics (Including Foundation Year),
BSC L193 Management Economics (Including Year Abroad),
MECNL133 Management Economics,
MECNL134 Management Economics (Including Placement Year),
MECNL135 Management Economics (Including Year Abroad),
BSC G100 Mathematics,
BSC G102 Mathematics (Including Year Abroad),
BSC G103 Mathematics (Including Placement Year),
BSC G104 Mathematics (Including Foundation Year),
MMATG198 Mathematics,
BSC 5B43 Statistics (Including Year Abroad),
BSC 9K12 Statistics,
BSC 9K13 Statistics (Including Placement Year),
BSC 9K18 Statistics (Including Foundation Year),
BSC G1G4 Mathematics with Computing (Including Year Abroad),
BSC G1G8 Mathematics with Computing (Including Foundation Year),
BSC G1GK Mathematics with Computing,
BSC G1IK Mathematics with Computing (Including Placement Year),
BSC G1F3 Mathematics with Physics,
BSC G1F4 Mathematics with Physics (Including Placement Year),
BSC GCF3 Mathematics with Physics (Including Year Abroad),
BSC I1G3 Data Science and Analytics,
BSC I1GB Data Science and Analytics (Including Placement Year),
BSC I1GC Data Science and Analytics (Including Year Abroad),
BSC I1GF Data Science and Analytics (Including Foundation Year),
BA L1R0 Economics with a Modern Language,
BA R112 Economics with Language Studies,
BA R113 Economics with Language Studies (Including Foundation Year),
MSCIN399 Actuarial Science and Data Science,
MSCIG199 Mathematics and Data Science

Module description

For students outside of the Department, an appropriate A level in Mathematics (or equivalent) is required for this module. If you are unsure whether you meet this criteria please contact before attempting to enrol. This module revises ideas associated with continuous functions, including the idea of an inverse, differentiation and integration, and sets them in a more fundamental context which permits a better understanding of their properties. The properties of inequalities are reviewed.

Module aims

To reinforce concepts of calculus, its applications and associated topics that students will have met prior to University and to extend them to allow students to engage with concepts met in an undergraduate mathematics degree.

Module learning outcomes

On completion of this module students should:

- be able to use Pythagoras's Theorem and the basic concepts of trigonometry;
- be familiar with elementary functions, the basic rules of the differential and integral calculus for functions of one variable;
- be familiar with the idea of a domain of definition and an inverse function;
- be able to manipulate inequalities;
- be able to solve first order differential equations;
- be able to solve second-order linear differential equations with constant coefficients, find general and particular solutions;
- be able to calculate limits of elementary functions;
- be able to use l'Hopital's rule;
- be able to find partial derivatives of elementary functions of two and three variables and their stationary points;
- be able to use the chain rule for first-order partial differentiation;
- be able to find directions of steepest slope for functions of two or three variables;
- be familair with basic rules of calculating double integrals.

Module information

This module introduces:

- the concept of limits
- differentiation from first principles
- Fundamental theorem of Calculus
- first and second order differential equations (and methods for solving them are studied)
- partial differentiation along with applications

Learning and teaching methods

Teaching will be delivered in a way that blends face-to-face classes, for those students that can be present on campus, with a range of online lectures, teaching, learning and collaborative support.


This module does not appear to have any essential texts. To see non-essential items, please refer to the module's reading list.

Assessment items, weightings and deadlines

Coursework / exam Description Deadline Coursework weighting
Coursework   Assignment  27/11/2020   
Coursework   E-assessment  26/03/2021   
Exam  Main exam: 210 minutes during Summer (Main Period) 

Exam format definitions

  • Remote, open book: Your exam will take place remotely via an online learning platform. You may refer to any physical or electronic materials during the exam.
  • In-person, open book: Your exam will take place on campus under invigilation. You may refer to any physical materials such as paper study notes or a textbook during the exam. Electronic devices may not be used in the exam.
  • In-person, open book (restricted): The exam will take place on campus under invigilation. You may refer only to specific physical materials such as a named textbook during the exam. Permitted materials will be specified by your department. Electronic devices may not be used in the exam.
  • In-person, closed book: The exam will take place on campus under invigilation. You may not refer to any physical materials or electronic devices during the exam. There may be times when a paper dictionary, for example, may be permitted in an otherwise closed book exam. Any exceptions will be specified by your department.

Your department will provide further guidance before your exams.

Overall assessment

Coursework Exam
20% 80%


Coursework Exam
20% 80%
Module supervisor and teaching staff
Prof Peter Higgins, email:
Dr Alexei Vernitski, email:
Professor Peter Higgins (AU), Dr Alexei Vernitski (SP)
Professor Peter Higgins (, Dr Alexei Vernitski (



External examiner

No external examiner information available for this module.
Available via Moodle
Of 8412 hours, 2 (0%) hours available to students:
8410 hours not recorded due to service coverage or fault;
0 hours not recorded due to opt-out by lecturer(s).


Further information

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